Question

Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).

Answer 1

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - $\frac{\sqrt{3} }{2}$

sin150° = sin30° = $\frac{1}{2}$

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- $\frac{\sqrt{3} }{2}$ +  $\frac{1}{2}$i )

  = - 2$\sqrt{3}$ + 2i , that is

(- 2$\sqrt{3}$, 2 ) → B